The evolution of static friction and tangential stiffness in presliding of an elastic-plastic sphere in contact with a rigid flat, under full stick contact condition, is analyzed. Empirical dimensionless equations are developed for these parameters.

References

References
1.
Cattaneo
,
C.
, 1938,
“Sul Contatto di due Corpi Elastici: Distribuzione Locale Degli Sforzi,”
Rend. Accad. Naz. Lincei
,
27
, Ser.
6
, pp.
342
348
, 434–436, 474–478.
2.
Mindlin
,
R. D.
, 1949, “
Compliance of Elastic Bodies in Contact
,”
ASME J. Appl. Mech.
,
16
, pp.
259
268
.
3.
Hamilton
,
G. M.
, 1983, “
Explicit Equations for the Stresses beneath a Sliding Spherical Contact
,”
Proc. Inst. Mech. Eng.
,
197
(
C
), pp.
53
59
.
4.
Tian
,
H.
, and
Saka
,
N.
, 1991, “
Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Normal Contact
,”
Wear
,
148
, pp.
47
68
.
5.
Kral
,
E. R.
, and
Komvopoulos
,
K.
, 1997, “
Three-Dimensional Finite Element Analysis of Subsurface Stress and Strain Fields Due to Sliding Contact on an Elastic-Plastic Layered Medium
,”
ASME J. Tribol.
,
119
, pp.
332
341
.
6.
Faulkner
,
A.
, and
Arnell
,
R. D.
, 2000, “
The Development of a Finite Element Model to Simulate the Sliding Interaction Between Two, Three-Dimensional, Elastoplastic, Hemispherical Asperities
,”
Wear
,
242
, pp.
114
122
.
7.
Stephens
,
L. S.
,
Liu
,
Y.
, and
Meletis
,
E.I.
, 2000, “
Finite Element Analysis of the Initial Yielding Behavior of a Hard Coating/Substrate System With Functionally Graded Interface Under Indentation and Friction
,”
ASME J. Tribol.
,
122
, pp.
381
387
.
8.
Zhang
,
H.
,
Cheng
,
L.
,
Webster
,
M. N.
, and
Jackson
,
A.
, 2003, “
Effects of Friction on the Contact and Deformation behavior in Sliding Asperity Contacts
,”
Tribol. Trans.
,
46
, p.
514
.
9.
McFarlane
,
J. S.
, and
Tabor
,
D.
, 1950, “
Relation between Friction and Adhesion
,”
Proc. R. Soc. London, Ser. A
,
202
, pp.
244
253
.
10.
Chang
,
W.
,
Etsion
,
I.
, and
Bogy
,
D.
, 1987, “
Elastic Plastic Model for the Contact of Rough Surfaces
,”
ASME J. Tribol.
,
109
, pp.
257
262
.
11.
Kogut
,
L.
, and
Etsion
,
I.
, 2003, “
A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces
,”
Tribol. Trans.
,
46
(
3
), pp.
383
390
.
12.
Brizmer
,
V.
,
Kligerman
,
Y.
, and
Etsion
,
I.
, 2006, “
Elastic-Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick
,”
Tribol. Lett.
,
25
, pp.
61
70
.
13.
Ovcharenko
,
A.
,
Halperin
,
G.
, and
Etsion
,
I.
, 2008, “
Experimental Study of Adhesive Static Friction in a Spherical Elastic-Plastic Contact
,”
ASME J. Tribol.
,
130
, p.
021401
.
14.
Etsion
,
I.
, 2010, “
Revisiting the Cattaneo-Mindlin Concept of Interfacial Slip in Tangentially Loaded Compliant Bodies
,”
ASME J. Tribol.
,
132
, p.
020801
.
15.
Chang
,
L.
, and
Zhang
,
H.
, 2007, “
A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient
,”
ASME J. Appl. Mech.
,
74
, pp.
100
106
.
16.
Chen
,
W. W.
, and
Wang
,
Q. J.
, 2009, “
A Numerical Static Friction Model for Spherical Contacts of Rough Surfaces, Influence of Load, Material, and Roughness
,”
ASME J. Tribol.
,
131
, p.
021402
.
17.
Eriten
,
M.
,
Polycarpou
,
A. A.
, and
Bergman
,
L. A.
, 2010, “
Physics-Based Modeling for Partial Slip Behavior of Spherical Contacts
,”
Int. J. Solids Struct.
,
47
, pp.
2554
2567
.
18.
Al-Bender
,
F.
, and
De Morelooze
,
K.
, 2010, “
On the Relationship between Normal Load and Friction Force in Pre-sliding Frictional Contacts. Part 1: Theoretical Analysis
,”
Wear
,
269
, pp.
174
182
.
19.
Wang
,
Z. J.
,
Wang
,
W. Z.
,
Wang
,
H.
,
Zhu
,
D.
, and
Hu
,
Y. Z.
, 2010, “
Partial Slip Contact Analysis on Three-Dimensional Elastic Layered Half Space
,”
ASME J. Tribol.
,
132
, p.
021403
.
20.
Ovcharenko
,
A.
,
Halperin
,
G.
, and
Etsion
,
I.
, 2008, “
In Situ and Real-Time Optical Investigation of Junction Growth in Spherical Elastic-Plastic Contact
,”
Wear
,
264
, pp.
1043
1050
.
21.
Zolotarevskiy
,
V.
,
Kligerman
,
Y.
, and
Etsion
,
I.
, 2011,
“Elastic-Plastic Spherical Contact Under Cyclic Tangential Loading in Pre-sliding,”
Wear
,
270
, pp.
888
894
.
22.
Cohen
,
D.
,
Kligerman
,
Y.
, and
Etsion
,
I.
, 2009, “
The Effect of Surface Roughness on Static Friction and Junction Growth of an Elastic-Plastic Spherical Contact
,”
ASME J. Tribol.
,
131
, p.
021404
.
23.
Li
,
L.
,
Etsion
,
I.
, and
Talke
,
F. E.
, 2010, “
Elastic-Plastic Spherical Contact Modeling Including Roughness Effects
,”
Tribol. Lett.
,
40
(
3
) pp.
357
363
.
24.
Lee
,
C. H.
, and
Polycarpou
,
A. A.
, 2007, “
Static Friction Experiments and Verification of an Improved Elastic-Plastic Model Including Roughness Effects
,”
ASME J. Tribol.
,
129
(
4
) pp.
754
760
.
25.
Salib
,
J.
,
Kligerman
,
Y.
, and
Etsion
,
I.
, 2008, “
A Model for Potential Adhesive Wear Particle at Sliding Inception of a Spherical Contact
,”
Tribol. Lett.
,
30
, pp.
225
233
.
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